Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Love waves in stratified monoclinic media

Author: Sergey V. Kuznetsov
Journal: Quart. Appl. Math. 62 (2004), 749-766
MSC: Primary 74J15; Secondary 74E10
DOI: https://doi.org/10.1090/qam/2104272
MathSciNet review: MR2104272
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Abstract: A mathematical model for analysis of Love waves propagating in stratified anisotropic (monoclinic) media is presented; this model is based on a newly developed Modified Transfer Matrix (MTM) method. Closed form dispersed relations are obtained for media consisting of one or two orthotropic layers lying on orthotropic substrate. Conditions for existence of Love waves are analyzed. Horizontally polarized shear surface waves of non-Love type are constructed. A numerical algorithm is worked out for obtaining dispersion relations for Love waves propagating in stratified media containing a large number of layers.

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DOI: https://doi.org/10.1090/qam/2104272
Article copyright: © Copyright 2004 American Mathematical Society

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